LCM of 919, 616, 132, 105, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 616, 132, 105, 618 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 919, 616, 132, 105, 618. So, keep reading to learn more.
Given numbers are 919,616,132,105,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,616,132,105,618 is 874630680.
Find LCM of 919,616,132,105,618 with Prime Factorization
| 2 | 919, 616, 132, 105, 618 |
| 2 | 919, 308, 66, 105, 309 |
| 3 | 919, 154, 33, 105, 309 |
| 7 | 919, 154, 11, 35, 103 |
| 11 | 919, 22, 11, 5, 103 |
| 919, 2, 1, 5, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 919 x 2 x 1 x 5 x 103 = 874630680
Therefore, the lowest common multiple of 919,616,132,105,618 is 874630680.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
919 x 616 x 132 x 105 x 618 = 4848952489920
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
919 : 1, 919
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
105 : 1, 3, 5, 7, 15, 21, 35, 105
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,616,132,105,618, is 1.
Now, the common factors can be found like this.
919:919
616:2x 2x 2x 7x 11
132:2x 2x 3x 11
105:3x 5x 7
618:2x 3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 7x 11 = 5544
Therefore, the value for common factors is 5544.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 4848952489920/(1x5544)
LCM = 4848952489920/5544
LCM = 874630680
Thus, we can understand that the LCM of 919,616,132,105,618 is 874630680.
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FAQs on LCM of 919, 616, 132, 105, 618
1. What is the LCM of 919, 616, 132, 105, 618?
Answer: LCM of 919, 616, 132, 105, 618 is 874630680.
2. How to calculate the LCM of 919, 616, 132, 105, 618?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 919, 616, 132, 105, 618.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.